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Finding the Fourth Proportional to 281,282.72, 421,858.44 and 81,549.50

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Solution

The fourth proportional to 281,282.72, 421,858.44 and 81,549.50 is: 122,305.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,282.72 : 421,858.44 = 81,549.50 : x
  2. Step 2: Convert to fraction form
    281,282.72/421,858.44 = 81,549.50/x
  3. Step 3: Cross multiply
    281,282.72x = 421,858.44 × 81,549.50
  4. Step 4: Simplify right side
    281,282.72x = 34,402,342,743.49
  5. Step 5: Solve for x
    x = 34,402,342,743.49/281,282.72
  6. Step 6: Final answer
    x = 122,305.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.